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Title: Toroidal magnetic field generation during compact toroid formation in a field-reversed theta pinch and a conical theta pinch

Abstract

The influence that the Hall and delP/sub e/ terms, in a generalized Ohm's law, have on the formation of a compact toroid in a field-reversed theta pinch and a conical theta pinch has been examined. The inclusion of these terms leads to the spontaneous generation of toroidal magnetic fields and toroidal velocities. The toroidal fields in the end regions reach peak values of almost 50% of the external poloidal field during the early stages of formation. When the coil geometry is the same at each end of the theta pinch, equal and opposite toroidal fields are generated by the Hall effect, so that no net toroidal flux is generated. When the geometry is not the same at each end, the Hall effect can lead to a net toroidal flux. Calculations for both a conical theta pinch experiment and a field-reversed configuration translation experiment demonstrate the generation of net toroidal flux, as observed experimentally.

Authors:
;
Publication Date:
Research Org.:
Spectra Technology, Inc., Bellevue, Washington 98004
OSTI Identifier:
5977498
DOE Contract Number:  
AC06-80ER53098
Resource Type:
Journal Article
Journal Name:
Phys. Fluids; (United States)
Additional Journal Information:
Journal Volume: 29:4
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; THETA PINCH; MAGNETIC FIELDS; TOROIDAL CONFIGURATION; CONICAL CONFIGURATION; HALL EFFECT; MAGNETIC FLUX; OHM LAW; PLASMA CONFINEMENT; PLASMA PRESSURE; REVERSE-FIELD PINCH; ANNULAR SPACE; CONFIGURATION; CONFINEMENT; PINCH EFFECT; SPACE; 700101* - Fusion Energy- Plasma Research- Confinement, Heating, & Production

Citation Formats

Milroy, R.D., and Brackbill, J.U. Toroidal magnetic field generation during compact toroid formation in a field-reversed theta pinch and a conical theta pinch. United States: N. p., 1986. Web. doi:10.1063/1.865867.
Milroy, R.D., & Brackbill, J.U. Toroidal magnetic field generation during compact toroid formation in a field-reversed theta pinch and a conical theta pinch. United States. doi:10.1063/1.865867.
Milroy, R.D., and Brackbill, J.U. Tue . "Toroidal magnetic field generation during compact toroid formation in a field-reversed theta pinch and a conical theta pinch". United States. doi:10.1063/1.865867.
@article{osti_5977498,
title = {Toroidal magnetic field generation during compact toroid formation in a field-reversed theta pinch and a conical theta pinch},
author = {Milroy, R.D. and Brackbill, J.U.},
abstractNote = {The influence that the Hall and delP/sub e/ terms, in a generalized Ohm's law, have on the formation of a compact toroid in a field-reversed theta pinch and a conical theta pinch has been examined. The inclusion of these terms leads to the spontaneous generation of toroidal magnetic fields and toroidal velocities. The toroidal fields in the end regions reach peak values of almost 50% of the external poloidal field during the early stages of formation. When the coil geometry is the same at each end of the theta pinch, equal and opposite toroidal fields are generated by the Hall effect, so that no net toroidal flux is generated. When the geometry is not the same at each end, the Hall effect can lead to a net toroidal flux. Calculations for both a conical theta pinch experiment and a field-reversed configuration translation experiment demonstrate the generation of net toroidal flux, as observed experimentally.},
doi = {10.1063/1.865867},
journal = {Phys. Fluids; (United States)},
number = ,
volume = 29:4,
place = {United States},
year = {1986},
month = {4}
}